SOLUTION: Bryan and Yuan started out at their houses and are biking towards each other. Brian started out first, and has already gone 5 miles. He bikes at a constant speed of 3 mph. Yuan jus

Question 1116655: Bryan and Yuan started out at their houses and are biking towards each other. Brian started out first, and has already gone 5 miles. He bikes at a constant speed of 3 mph. Yuan just left, and rides at 4 mph when the boys meet halfway between their houses, they will continue to the park together. How long will that take? How far will each boy have ridden?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Bryan and Yuan started out at their houses and are biking towards each other.
Brian started out first, and has already gone 5 miles.
He bikes at a constant speed of 3 mph. Yuan just left, and rides at 4 mph
when the boys meet halfway between their houses, they will continue to the park together.
How long will that take? How far will each boy have ridden?
:
Since they meet half way, we know they rode the same distance.
let t = the time Yuan rides to meet Bryan
"
write a distance equation, dist = speed * time
B's dist = Y's dist
3t + 5 = 4t
5 = 4t - 3t
5 = t
5 hrs riding by Yuan
5 + = 6 hrs or 6 hrs 40 min rode by Bryan
:
Confirm this by finding the distance they rode
5 * 4 = 20 mi by Yuan
6 * 3 = 20 mi by Bryan alsol
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